Difference between Korean language and Korean alphabet in Korean
한국말·한글
한국말Korean language
한국말 means the Korean language. You use it when talking about speaking, learning, hearing, or using Korean at school and in daily life. It is a common, easy word for the language people speak in Korea.
한글Korean alphabet
Hangul (한글) is the Korean alphabet, the system used to read and write Korean. People use this word when talking about Korean letters, spelling, reading, or writing. In school, students usually learn Hangul first.
The difference
한글 is the Korean writing system, not the Korean language itself. You learn 한글 to read and write Korean.